Question
The Business School at Eastern College is accumulating data as a first step in the preparation of next year's budget development. One cost that is
The Business School at Eastern College is accumulating data as a first step in the preparation of next year's budget development. One cost that is being looked at closely is administrative costs as a function of student credit hours. Data on administrative costs and credit hours for the past thirteen months are shown below: |
Administrative | Credit | ||
Month | Costs | Hours | |
July | $ 129,685 | 227 | |
August | 83,198 | 214 | |
September | 225,561 | 1,399 | |
October | 216,347 | 953 | |
November | 258,171 | 1,272 | |
December | 184,687 | 1,254 | |
January | 218,933 | 1,370 | |
February | 244,930 | 1,315 | |
March | 210,117 | 1,106 | |
April | 192,480 | 1,072 | |
May | 250,691 | 1,362 | |
June | 170,121 | 627 | |
July | 128,421 | 281 | |
Total | $ 2,513,342 | 12,452 | |
Average | 193,334 | 958 |
The controller's office has analyzed the data and has given you the results from the regression analysis:
Regression Statistics | |
Multiple R | 0.9128329 |
R Square | 0.833263830 |
Adjusted R Square | 0.818105996 |
Standard Error | 22,591.28975 |
Observations | 13 |
Anova |
df | SS | MS | F | Significance F | |
Regression | 1 | 28,056,109,284 | 28,056,109,284 | 54.9724880 | 1.33561E-05 |
Residual | 11 | 5,614,030,098 | 510,366,372.6 | ||
Total | 12 | 33,670,139,382 |
Coefficients | Standard Error | t Stat | P-value | Lower 95% | Upper 95% | Lower 95.0% | Upper | |
Intercept | 92,503.10785 | 14,973.43063 | 6.17781657 | 6.92947E-05 | 59,546.80927 | 125,459.4064 | 59,546.80927 | 125,459.4064 |
X Variable 1 | 105.2683583 | 14.19793402 | 7.414343395 | 1.33561E-05 | 74.01891627 | 136.517800 | 74.01891627 | 136.517800 |
Based on the results of the regression analysis, the estimate of administrative costs in a month with 1,000 credit hours would be: (rounded to the nearest whole dollar) |
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